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Finding the Fourth Proportional to 73.44, 110.02 and 53.05

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Solution

The fourth proportional to 73.44, 110.02 and 53.05 is: 79.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.44 : 110.02 = 53.05 : x
  2. Step 2: Convert to fraction form
    73.44/110.02 = 53.05/x
  3. Step 3: Cross multiply
    73.44x = 110.02 × 53.05
  4. Step 4: Simplify right side
    73.44x = 5,836.56
  5. Step 5: Solve for x
    x = 5,836.56/73.44
  6. Step 6: Final answer
    x = 79.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.